This article establishes a system of paradigmatic associations of compound abbreviated onyms, which is based on the conceptual apparatus of compound abbreviated appellatives. We consider such varieties of paradigmatic associations as an equivalence nest, an abbreviation nest, an abbreviation group, an abbreviation field and an abbreviation paradigm as applied to complex abbreviated onyms. The results of the study help to draw a clear line between compound abbreviated onyms and compound abbreviated appellatives, and also allow us to speak of the existence of a separate microsystem of compound abbreviated onyms.